Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4615874 | Journal of Mathematical Analysis and Applications | 2014 | 27 Pages |
Abstract
We prove Liouville type results for non-negative solutions of the differential inequality ÎÏu⩾f(u)â(|â0u|) on the Heisenberg group under a generalized Keller-Osserman condition. The operator ÎÏu is the Ï-Laplacian defined by div0(|â0u|â1Ï(|â0u|)â0u) and Ï, f and â satisfy mild structural conditions. In particular, â is allowed to vanish at the origin. A key tool that can be of independent interest is a strong maximum principle for solutions of such differential inequality.
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Physical Sciences and Engineering
Mathematics
Analysis
Authors
Luca Brandolini, Marco Magliaro,